What is the Greatest Common Factor of 47151 and 47164?

Greatest common factor (GCF) of 47151 and 47164 is 13.

GCF(47151,47164) = 13

We will now calculate the prime factors of 47151 and 47164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47151 and 47164.

How to find the GCF of 47151 and 47164?

We will first find the prime factorization of 47151 and 47164. After we will calculate the factors of 47151 and 47164 and find the biggest common factor number .

Step-1: Prime Factorization of 47151

Prime factors of 47151 are 3, 13, 31. Prime factorization of 47151 in exponential form is:

47151 = 3² × 13² × 31¹

Step-2: Prime Factorization of 47164

Prime factors of 47164 are 2, 13, 907. Prime factorization of 47164 in exponential form is:

47164 = 2² × 13¹ × 907¹

Step-3: Factors of 47151

List of positive integer factors of 47151 that divides 47151 without a remainder.

1, 3, 9, 13, 31, 39, 93, 117, 169, 279, 403, 507, 1209, 1521, 3627, 5239, 15717

Step-4: Factors of 47164

List of positive integer factors of 47164 that divides 47151 without a remainder.

1, 2, 4, 13, 26, 52, 907, 1814, 3628, 11791, 23582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47151 and 47164. The biggest common factor number is the GCF number.
So the greatest common factor 47151 and 47164 is 13.

Also check out the Least Common Multiple of 47151 and 47164